Model of centrifugal effect and attitude maneuver stability of a coupled rigid-flexible system. (English) Zbl 1144.74331
Summary: The influences of nonlinear centrifugal force to large overall attitude motion of coupled rigid-flexible system was investigated. First the nonlinear model of the coupled rigid-flexible system was deduced from the idea of “centrifugal potential field”, and then the dynamic effects of the nonlinear centrifugal force to system attitude motion were analyzed by approximate calculation; At last, the Lyapunov function based on energy norm was selected, in the condition that only the measured values of attitude and attitude speed are available, and it is proved that the PD feedback control law can ensure the attitude stability during large angle maneuver.
MSC:
| 74H55 | Stability of dynamical problems in solid mechanics |
| 70E50 | Stability problems in rigid body dynamics |
Keywords:
coupled rigid-flexible system; nonlinear; rigid-body motion; elastic vibration; attitude stabilityReferences:
| [1] | Ma Xingrui, Wang Benli, Gou Xinyu, et al.Spacecraft Dynamics–Ome Problems, Advancing and Application [M]. Science Press, Beijing, 2001 (in Chinese). |
| [2] | Kane T R, Ryan R R, Banerjee A K. Dynamics of a cantilever beam attached to a moving base[J].Journal of Guidance, Control and Dynamics, 1987,10(2): 139–150. · doi:10.2514/3.20195 |
| [3] | Likins P W. Finite element appendage equations for hybrid coordinate dynamic analysis[J].J of Solids and Structures, 1972,8: 709–731. · Zbl 0242.73041 · doi:10.1016/0020-7683(72)90038-8 |
| [4] | Sakawa Y, Luo Zhenghua. Modeling and control of coupled bending and torsional vibration of flexible beams[J].IEEE Trans on Automatic Control, 1989,34(9): 970–977. · Zbl 0693.93041 · doi:10.1109/9.35810 |
| [5] | Enrique Barbieri, Umit Ozguner. Unconstrained and constrained mode expansions for a flexible slewing link[J].Transaction of ASME, 1988,110(6): 416–421. · doi:10.1115/1.3250501 |
| [6] | Mörgul Ö. Orientation and stabilization of a flexible beam attached to a rigid body: planar motion[J].IEEE Trans on Automatic Control, 1991,36(8): 953–962. · Zbl 0731.73054 · doi:10.1109/9.133188 |
| [7] | Bloch A M. Stability analysis of a rotating flexible system[J].Acta Appli Mathe, 1989,15(8): 211–234. · Zbl 0682.70021 · doi:10.1007/BF00047531 |
| [8] | Xiao Shifu, Chen Bin. On characteristics of modal analysis for flexible appendage of a typical rigidflexible coupling system[J].Chinese Space Science and Technology, 1998,18(4): 8–13 (in Chinese). |
| [9] | Hu Zhendong, Hong Jiazhen. Modeling and analysis of a coupled rigid-flexible system[J].Applied Mathematics and Mechanics (English Edition), 1999,20(10): 1087–1093. · Zbl 0963.70531 · doi:10.1007/BF02460335 |
| [10] | Li Zhibin. Dynamic Characteristics Analysis and Experiment Research of Rigid-Flexible-Control Coupling System[D]. Ph D Dissertation. Tsinghua University, Beijing, 2002 (in Chinese). |
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